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Gala2k [10]
3 years ago
12

Provides a unique set of guidelines that can be applied to any triangle. The guidelines demonstrate a clear understanding of app

lying the laws of sines and cosines.
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0

we can have a triangle  and we know that there are two angles. 

30º and a 45º + 105 =180º angle. applying the sides. 

therefore if we have the whole triangle completed we have a constant triangle. 


so it tell us we can you’se SOH CAH TOA 

we can varrify what kind of triangle we are using. 


for example if we were to use  Sin I would do 


Sin 30/ 2 = sin of 105º/ A = sin=45º/ B


if you would want to solve for  sin 30/2 and sin 105, then we solve. 

 

or Sin 30/2  and Sin 105 as well. 


with your calculator use sin= 30=.5  and use sin 105º a divide by 1.5 on both sides    1.5= A /sin 105º * 1.5   answer would be 3.86.  a is = to 3.86 (Not the answer)


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2. From the definition of the derivative (definition 5.3), find the derivative for each of the following functions: (a) f(x) = 6
castortr0y [4]

Answer:

a) f'(x)=6

b) f'(x)=12

c) f'(x)=2kx

Step-by-step explanation:

To find :  From the definition of the derivative find the derivative for each of the following functions ?

Solution :

Definition of the derivative is

f'(x)= \lim_{h \to 0}(\frac{f(x+h)-f(x)}{h})

Applying in the functions,

a) f(x)=6x

f'(x)= \lim_{h \to 0}(\frac{6(x+h)-6x}{h})

f'(x)= \lim_{h \to 0}(\frac{6x+6h-6x}{h})

f'(x)= \lim_{h \to 0}(\frac{6h}{h})

f'(x)=6

b) f(x)=12x-2

f'(x)= \lim_{h \to 0}(\frac{12(x+h)-2-(12x-2)}{h})

f'(x)= \lim_{h \to 0}(\frac{12x+12h-2-12x+2}{h})

f'(x)= \lim_{h \to 0}(\frac{12h}{h})

f'(x)=12

c) f(x)=kx^2 for k a constant

f'(x)= \lim_{h \to 0}(\frac{k(x+h)^2-kx^2}{h})

f'(x)= \lim_{h \to 0}(\frac{k(x^2+h^2+2xh-kx^2)}{h})

f'(x)= \lim_{h \to 0}(\frac{kx^2+kh^2+2kxh-kx^2}{h})

f'(x)= \lim_{h \to 0}(\frac{h(kh+2kx)}{h})

f'(x)= \lim_{h \to 0}(kh+2kx)

f'(x)=2kx

6 0
3 years ago
A package contains 4 cups of oatmeal. There is 1/3 cup of oatmeal in each serving l. How many servings of oatmeal are there in t
nalin [4]

Answer:

12 Servings

Step-by-step explanation:

Equation:

1/3x = 4

We're looking for how many servings are there in 4 cups.

4 divided by 1/3 = 12

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What number is 28% of 25?
Anvisha [2.4K]

Answer:

7

Step-by-step explanation:

what number is 28% of 25

Is means equals and of means multiply

N = 28% of 25

Change to decimal form

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